Details
| Original language | English |
|---|---|
| Pages (from-to) | 1227-1258 |
| Number of pages | 32 |
| Journal | Journal of evolution equations |
| Volume | 17 |
| Issue number | 4 |
| Publication status | Published - 1 Dec 2017 |
Abstract
We consider a nonlinear integro-differential equation for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The equation can be written as a quasilinear Cauchy problem. For bounded reaction rates we prove global existence and uniqueness of classical solutions by means of evolution operator theory. We also prove global existence of weak solutions for unbounded reaction rates by a compactness argument.
Keywords
- Classical and weak solutions, Evolution operators, Polymer joining, Prions
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of evolution equations, Vol. 17, No. 4, 01.12.2017, p. 1227-1258.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Existence of global classical and weak solutions to a prion equation with polymer joining
AU - Leis, Elena
AU - Walker, Christoph
N1 - Publisher Copyright: © 2016, Springer International Publishing. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - We consider a nonlinear integro-differential equation for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The equation can be written as a quasilinear Cauchy problem. For bounded reaction rates we prove global existence and uniqueness of classical solutions by means of evolution operator theory. We also prove global existence of weak solutions for unbounded reaction rates by a compactness argument.
AB - We consider a nonlinear integro-differential equation for prion proliferation that includes prion polymerization, polymer splitting, and polymer joining. The equation can be written as a quasilinear Cauchy problem. For bounded reaction rates we prove global existence and uniqueness of classical solutions by means of evolution operator theory. We also prove global existence of weak solutions for unbounded reaction rates by a compactness argument.
KW - Classical and weak solutions
KW - Evolution operators
KW - Polymer joining
KW - Prions
UR - http://www.scopus.com/inward/record.url?scp=84995460949&partnerID=8YFLogxK
U2 - 10.1007/s00028-016-0379-6
DO - 10.1007/s00028-016-0379-6
M3 - Article
AN - SCOPUS:84995460949
VL - 17
SP - 1227
EP - 1258
JO - Journal of evolution equations
JF - Journal of evolution equations
SN - 1424-3199
IS - 4
ER -